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Finding the Fourth Proportional to 434,803.52, 651,994.68 and 254,938.16

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Solution

The fourth proportional to 434,803.52, 651,994.68 and 254,938.16 is: 382,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,803.52 : 651,994.68 = 254,938.16 : x
  2. Step 2: Convert to fraction form
    434,803.52/651,994.68 = 254,938.16/x
  3. Step 3: Cross multiply
    434,803.52x = 651,994.68 × 254,938.16
  4. Step 4: Simplify right side
    434,803.52x = 166,218,324,048.99
  5. Step 5: Solve for x
    x = 166,218,324,048.99/434,803.52
  6. Step 6: Final answer
    x = 382,283.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.